Find the cube root of −343: −343−−−−√3

To find the cube root of \(-343\), you can express it mathematically as:

\[ \sqrt[3]{-343} \]

Since \(343\) is equal to \(7^3\), we can rewrite \(-343\) as:

\[ -343 = - (7^3) \]

Now, taking the cube root gives:

\[ \sqrt[3]{-343} = \sqrt[3]{- (7^3)} = -7 \]

Thus, the cube root of \(-343\) is:

\[ \boxed{-7} \]